Solve {e}^-frac{1291.16{8.314*0.001*398}}

$${ e }^{ - \frac{ 1291.16 }{ 8.314 \cdot 0.001 \cdot 398 } }$$

Evaluate

$$\frac{1}{e^{\frac{322790000}{827243}}}\approx 3.454680783 \cdot 10^{-170}$$

Solution Steps

Multiply 8.314 and 0.001 to get 0.008314.

$$e^{-\frac{1291.16}{0.008314\times 398}}$$

Multiply 0.008314 and 398 to get 3.308972.

$$e^{-\frac{1291.16}{3.308972}}$$

Expand \frac{1291.16}{3.308972} by multiplying both numerator and the denominator by 1000000.

$$e^{-\frac{1291160000}{3308972}}$$

Reduce the fraction \frac{1291160000}{3308972} to lowest terms by extracting and canceling out 4.

$$e^{-\frac{322790000}{827243}}$$